Noether symmetry and conserved quantities of the analytical dynamics of a Cosserat thin elastic rod  

作　　者：王鹏 薛纭 刘宇陆 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University [2]School of Mechanical Engineering,Shanghai Institute of Technology

出　　处：《Chinese Physics B》2013年第10期46-51,共6页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(Grant Nos.11262019 and 10972143)

摘　　要：In this paper, we investigate the Noether symmetry and Noether conservation law of elastic rod dynamics with two independent variables： time t and arc coordinate s. Starting from the Lagrange equations of Cosserat rod dynamics, the criterion of Noether symmetry with Lagrange style for rod dynamics is given and the Noether conserved quantity is obtained. Not only are the conservations of generalized moment and generalized energy obtained, but also some other integrals.In this paper, we investigate the Noether symmetry and Noether conservation law of elastic rod dynamics with two independent variables： time t and arc coordinate s. Starting from the Lagrange equations of Cosserat rod dynamics, the criterion of Noether symmetry with Lagrange style for rod dynamics is given and the Noether conserved quantity is obtained. Not only are the conservations of generalized moment and generalized energy obtained, but also some other integrals.

关 键 词：analytical mechanics Noether symmetry conservation laws Cosserat elastic rod dynamics 

分 类 号：O313[理学—一般力学与力学基础]